#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define rep(i, n) for(int i = 0; i < (n); i++) #define per(i, n) for(int i = (n) - 1; i >= 0; i--) using ll = long long; #define vi vector #define vvi vector #define vl vector #define pii pair #define pll pair #define all(a) (a).begin(), (a).end() #define rall(a) (a).rbegin(), (a).rend() constexpr int mod = 1000000007; using namespace std; template bool chmax(T &a, const U &b){ return a < b ? (a = b, 1) : 0; } template bool chmin(T &a, const U &b){ return a > b ? (a = b, 1) : 0; } ll solve(int a){ vvi cnt(333, vi(4445)); for(ll j = 1; j <= 4444; j++){ const int v = (j*j*j) % 333; cnt[v][j]++; } rep(i, 333) rep(j, 4444) cnt[i][j+1] += cnt[i][j]; ll ans = 0; const ll mx = 4444LL*4444*4444*4444; for(ll i = 1; i <= 4444; i++){ const ll iv = i*i*i*i; const int iv3 = i*i*i % 333; for(ll j = i; iv+j*j*j*j <= mx; j++){ const ll jv = iv+j*j*j*j; const int jv3 = (iv3+j*j*j) % 333; const int v = (333 - jv3 + a) % 333; const int l = sqrt(sqrt(mx - jv)); if(l < j) continue; const ll num = cnt[v][l] - cnt[v][j]; if(i == j) ans += num * 3; else ans += num * 6; if(cnt[v][j] - cnt[v][j-1] == 1){ if(i == j) ans++; else ans += 3; } } } return ans; } constexpr ll answer[] = { 353412483, 499853409, 198066141, 65944976, 0, 0, 83359314, 197704749, 499956396, 461596998, 499924557, 250031589, 66025737, 0, 0, 65922195, 197880351, 395804754, 461671050, 395752629, 197825844, 65951319, 0, 0, 65936360, 197777304, 499639056, 583029498, 395715012, 249552855, 66073349, 0, 0, 66026043, 197876565, 395514645, 582863367, 303214194, 249900573, 66080034, 0, 0, 65941840, 249952551, 395548158, 583092006, 395796816, 250096923, 83408904, 0, 0, 83352606, 197785611, 395734917, 461688090, 395834907, 197910177, 65958885, 0, 0, 83129445, 197879421, 395601315, 583179990, 499975596, 197894460, 83217288, 0, 0, 65851552, 197977152, 395723337, 461598072, 499492386, 151682058, 83391159, 0, 0, 65982393, 197810568, 499698792, 461615477, 499465320, 197929308, 83479962, 0, 0, 66034772, 249868407, 395609340, 461586120, 395850384, 197943681, 65989561, 0, 0, 66018201, 249605913, 395763186, 461545017, 500244135, 250121904, 65992770, 0, 0, 83439696, 197582427, 395906010, 461534357, 395972283, 249747105, 50667829, 0, 0, 65970890, 197840178, 395783145, 582714366, 395839320, 249607272, 66034569, 0, 0, 65970813, 197862537, 499837770, 461586033, 395704725, 197937468, 66025153, 0, 0, 65971953, 197855130, 499324197, 461779937, 395694588, 250272546, 83394459, 0, 0, 65931391, 250137234, 395347209, 461799958, 395664129, 198104688, 83187177, 0, 0, 65844093, 197915487, 395640954, 461877100, 499267476, 197996145, 83116794, 0, 0, 83077128, 197816517, 395716419, 583089981, 395680647, 197847309, 66034770, 0, 0, 65927544, 197856531, 395729877, 582755274, 395784210, 197870754, 83518725, 0, 0, 83482623, 197741811, 500063223, 461407793, 395845749, 197818044, 66124482, 0, 0, 83419152, 197585898, 395806743, 461487779, 396117981, 249519294, 66035306, 0, 0, 83193621, 249380424, 395683833, 461503212, 500027589, 197855943, 65988450, 0, 0, 65930507, 197764092, 395690775, 461566449, 499518105, 197901777, 65986020, 0, 0, 65933772, 250096410, 395624835, 583102701, 395703927, 197915679, 65987298, 0, 0, 50523021, 249970845, 395405595, 461756184, 395565168, 198146163, 83144547, 0, 0, 65983467, 249543381, 499087524, 461617473, 395695518, 250057275, 65957211, 0, 0, 65974043, 197782437, 395546595, 461593956, 395765376, 249800436, 65946828, 0, 0, 83100603, 197759865, 499933236, 461658190, 499637970, 197937693, 65994989, 0, 0, 83165199, 151389405, 499921449, 461545845, 395752965, 197762508, 66111248, 0, 0, 83355123, 197818980, 499370913, 582628467, 395794911, 197844207, 83457036, 0, 0, 66017907, 197835168, 395622237, 461486226, 395661093, 197892921, 83237010, 0, 0, 83211351, 249550986, 395580453, 582788094, 395923029, 249712644, 66025575, 0, 0, 65897514, 249726033, 302922846, 583014219, 395884293, 197863206, 65933645, 0, 0, 65893369, 250099782, 395686374, 582793884, 499733808, 197928006, 66021523, 0, 0, 66010887, 197890128, 395726169, 461611814, 395609376, 197826183, 66037128, 0, 0, 65941779, 249662991, 499401411, 461547663, 499391031, 198039087, 83234613, 0, 0, 66018343, 197644773, 499469412, }; int main(){ //rep(i, 333) cout << solve(i) << ", "; int a; cin >> a; cout << answer[a % 333] << "\n"; }